Anatoliy Swishchuk, Shafiqul Islam

Random Dynamical Systems in Finance

• Gebundenes Buch

Produktbeschreibung

With extensive end-of-chapter references, this book provides a variety of RDS for approximating financial models, presents numerous option pricing formulas for these models, and studies the stability and optimal control of RDS. Through numerous examples, the authors explain how the theory of RDS can describe the asymptotic and qualitative behavior of systems of random and stochastic differential/difference equations in terms of stability, invariant manifolds, and attractors. They also develop techniques for implementing RDS as approximations to financial models and option pricing formulas.

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 357
• Erscheinungstermin: 23. April 2013
• Englisch
• Abmessung: 234mm x 160mm x 25mm
• Gewicht: 635g
• ISBN-13: 9781439867181
• ISBN-10: 1439867186
• Artikelnr.: 37182330

Autorenporträt

Swishchuk, Anatoliy ; Islam, Shafiqul

Inhaltsangabe

Introduction. Deterministic Dynamical Systems and Stochastic Perturbations.
Random Dynamical Systems and Random Maps. Position-Dependent Random Maps.
Random Evolutions as Random Dynamical Systems. Averaging of the Geometric
Markov Renewal Processes (GMRP). Diffusion Approximations of the GMRP and
Option Price Formulas. Normal Deviation of a Security Market by the GMRP.
Poisson Approximation of a Security Market by the GMRP. Stochastic
Stability of Fractional RDS in Finance. Stability of RDS with Jumps in
Interest Rate Theory. Stability of Delayed RDS with Jumps and
Regime-Switching in Finance. Optimal Control of Delayed RDS with
Applications in Economics. Optimal Control of Vector-Delayed RDS with
Applications in Finance and Economics. RDS in Option Pricing Theory with
Delayed/Path-Dependent Information. Epilogue. Index.